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Finding the Third Proportional to 95,168 and 214,601

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Solution

The third proportional to 95,168 and 214,601 is: 483,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,168 : 214,601 = 214,601 : x
  2. Step 2: Convert to fraction form
    95,168/214,601 = 214,601/x
  3. Step 3: Cross multiply
    95,168x = 214,601 × 214,601
  4. Step 4: Simplify right side
    95,168x = 46,053,589,201
  5. Step 5: Solve for x
    x = 46,053,589,201/95,168
  6. Step 6: Final answer
    x = 483,918.85

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.